214414893504 has 448 divisors, whose sum is σ = 734290022400. Its totient is φ = 60089942016.

The previous prime is 214414893487. The next prime is 214414893527. The reversal of 214414893504 is 405398414412.

214414893504 is a `hidden beast` number, since 2 + 1 + 44 + 14 + 8 + 93 + 504 = 666.

214414893504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×214414893504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214414893504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165315384 + ... + 165316680.

Almost surely, 2^214414893504 is an apocalyptic number.

214414893504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214414893504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367145011200).

214414893504 is an abundant number, since it is smaller than the sum of its proper divisors (519875128896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214414893504 is a wasteful number, since it uses less digits than its factorization.

214414893504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 214414893504 in words is "two hundred fourteen billion, four hundred fourteen million, eight hundred ninety-three thousand, five hundred four".